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" The first term, the last term (or the extremes) and the ratio given, to find the sum of the series RULE. Multiply the last term by the ratio, and from the product subtract the first term... "
Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and ... - Page 185
by Nathan Daboll - 1813 - 240 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801
...diminished, is called the ratio. PROBLEM I. Given the first termt the last term, and the ratio, to find tht sum of the series. RULE.* Multiply the last term by...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less I, will give the sum of the series. EXAMPLES. * DEMONSTRATION....
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Mathematics, Volume 1

Samuel Webber - Mathematics - 1808
...calfed the r'atio. PR0BLEM I. Giyen thejirst term, the last term, and the ratio, to find the sum of thc series. RULE.* Multiply the last term by the ratio, and from the product subtract the first term, and the remainder, divided by the ratio less 1, will give the sum of the series. • DEM0NSTRATI0N....
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 248 pages
...increased or diminished, is called the ratio. PROBLEM 1. Given thefirst term, the last term, and the ratio, to find the sum of the series. RULE.* Multiply the...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less 1, will give the sum of the series. * DEMONSTRATION. Take...
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A System of Practical Arithmetic: Applicable to the Present State of Trade ...

Jeremiah Joyce - Arithmetic - 1812 - 258 pages
...determined. I. Given the first term a, the last term z, and the common ratio r, to find the sum s. RULE. Multiply the last term by the ratio, and from the product subtract the first term, and the remainder divided by the ratio, less one, will give the sum of the series ; or — r — 1...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged. Being a Plain ...

Nathan Daboll - Arithmetic - 1818 - 240 pages
...8, 1 6, &c. increase by the multiplier 2 ; and 27, $, 3, 1, decrease by the divisor 3. PROBLEM I. >i The first term, the last term (or the extremes) and...the sum of the series. RULE. Multiply the last term fay the ratio, and from the product subtract the first term ; then divide the remainder by the- ratio,...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

Arithmetic - 1818 - 251 pages
...is called the RATIO. PROBLEM I. Given the first term, the last term, (or extremes') and the ra* t|O, to find the sum of the series, RULE. Multiply the...ratio, and from the product subtract the first term, and the rem ainder, divided by the ratio less I, wjif'give the sum of all the terms of the series....
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The Scholar's Guide to Arithmetic: Being a Collection of the Most Useful ...

Phinehas Merrill - Arithmetic - 1819 - 107 pages
...answer. CASE H. •Given the first term, the last term, and the ratio, to find the aggregate or total sum of the series. RULE. — Multiply the last term...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less one, will give the sum of the whole series. EXAMPLES....
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1822 - 532 pages
...terms ? Ana. £Jff. Ill 18. What is the sura of j-^t, f^.^p- &c. to infinity ? Ans. 16f. PROBLEM IH. The .first term, the last term (or the extremes) and the ratio given, ft> Jlnd the snm of the series.^. RULE I. Divide the difference of the extremes by the ratio legs by...
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Daboll's Schoolmaster's Assistant, Improved and Enlarged: Eing a Plain ...

Nathan Daboll - Arithmetic - 1823 - 240 pages
...8, 16, &.c. increase by the multiplier 2: and S7, 9, 3, 1, decrease by the divisor 3. PROBLEM I. . ' The first term, the last term (or the extremes) and the ratio given, to fmd the-sum of the series. RULE. Multiply the last term by t!ie ratio, and from the product subtract...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 164 pages
...is called the ratio. Problem I. The Jlnt term, the latt term, and the ratio given to find the turn of the series. RULE.* — Multiply the last term by...ratio, and from the product subtract the first term, and the remainder divided by the ratio, less 1, will give the sum of the series. Examples. 1 . The...
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